SBM-DEA模型在储层综合定量评价中的应用

朱兆群; 曲丽丽; 李丹; 林承焰; 吴复柱; 杨玲; 孙明翔; 明红霞

doi:10.19509/j.cnki.dzkq.2021.0110

SBM-DEA模型在储层综合定量评价中的应用

doi: 10.19509/j.cnki.dzkq.2021.0110

朱兆群^{1a, 1b,},
曲丽丽^2, ,,
李丹^{1a, 1b},
林承焰³,
吴复柱^{1a, 1b},
杨玲^1a,
孙明翔^1a,
明红霞⁴

基金项目:

河北省自然科学基金项目 D2017402165

河北工程大学创新基金项目 SJ010002150

详细信息

作者简介:
朱兆群(1986-), 男, 讲师, 主要从事油气藏开发地质方面的研究工作。E-mail:zzq86@126.com

通讯作者:
曲丽丽(1988-), 女, 工程师, 主要从事油气藏开发地质方面的研究工作。E-mail:qulili0620@126.com

中图分类号: P618.13
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- 文章访问数: 1142
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- 被引次数: 0
出版历程
- 收稿日期: 2020-02-20

Application of SBM-DEA model in comprehensive quantitative evaluation of reservoir

Zhu Zhaoqun^{1a, 1b
,},
Qu Lili^{2
, ,},
Li Dan^{1a, 1b},
Lin Chengyan³,
Wu Fuzhu^{1a, 1b},
Yang Ling^1a,
Sun Mingxiang^1a,
Ming Hongxia⁴

摘要

摘要: 针对传统储层评价方法中人为主观性较强、计算过程复杂、结果分析不充分等问题，根据数据包络分析原理，探讨SBM-DEA模型在储层综合定量评价中的应用。实践表明，该模型在储层评价中具有以下优点：①能同时考虑多个正相关和负相关指标，无需事先给定评价标准及指标权重值，避免主观因素影响，具有较强客观性；②以线性规划为工具，无需进行指标无量纲化等数据预处理，有效简化评价过程；③评价结果介于0~1之间，除对评价单元进行排序、分类外，还可以提供评价非有效的原因及可改进信息。将其应用到苏里格气田苏X井区盒8下亚段低渗透气藏早期储层分类评价和刻画中，将研究区储层分为4类，其中Ⅰ，Ⅱ类为有利储层，总体评价结果与传统模糊综合评价结果具有较好对应关系，与气田生产实际及地质认识也基本吻合，并给出了评价实例非有效的主要差距及改进措施，表明该方法在实际应用中具有可信度及可行性，为实现类似高效、客观的储层评价提供了新的思路。
- 储层评价 /
- 数据包络分析 /
- SBM-DEA模型 /
- 低渗透储层 /
- 苏里格气田
Abstract: Aiming at the problems of strong subjectivity, complicated calculation procedures and inadequate analysis in traditional reservoir evaluation, the application of the Slack Based Measure model of Data Envelopment Analysis (SBM-DEA model) in comprehensive quantitative evaluation of reservoir was discussed.It is shown that this model has the following advantages:① It could take into account of both the positive and negative related indicators, and is more objective that there is no need to determine the evaluation criterion and index weights by subjective analysis in advance; ②Taking the linear programming as the tool, it could simplify the calculation procedure that it does not have to standardize the evaluation indexes; ③ The evaluation result is between 0-1 naturally, and it can be not only used for sorting and classification of evaluation units, but also providing the reason that units are not efficient as well as the suggestion on how to improve them.The new method was applied in early low-permeability gas reservoir evaluation on the lower section of the eighth member of Shihezi Formation(Middle Permain) in SuX region of Sulige gasfield.Four types of reservoir are classified in the study area and the type Ⅰ and Ⅱ would be the favorable targets.The new evaluation results obtained generally accorded with the traditional fuzzy comprehensive reservoir evaluation results, and showed good consistence with practical field production and geological knowledge.At the same time, the main advice on insufficiency and improvements for this case was given.It is proved that this evaluation method is reliable and practical in application, and provides new thought for similarly effective and objective reservoir evaluation as well.
- reservoir evaluation /
- data envelopment analysis /
- SBM-DEA model /
- low-permeability reservoir /
- Sulige Gasfield

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图 1 研究区苏里格气田苏X井区位置示意图

Figure 1. Location map of the SuX Block in Sulige Gasfield

下载: 全尺寸图片幻灯片

图 2 研究区盒8下段储层综合柱状图

Figure 2. Synthesis histogram of the reservoir of the lower section of the eighth Member of Shihezi Formation in the study area

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图 3 SBM-DEA与传统模糊综合评价结果对比分析

Figure 3. Comparison between the evaluation results by SBM-DEA model and traditional fuzzy comprehensive evaluation method

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图 4 基于SBM-DEA评价结果的储层评价单元系统聚类及分类

Figure 4. Hierarchical cluster and classification of reservoir evaluation objects based on SBM-DEA evaluation results

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图 5 苏里格气田苏X井区盒8下段储层综合分类图

Figure 5. Map showing comprehensive reservoir classification of the lower section of the eighth Member of Shihezi Formation in Well Su X region of Sulige Gasfield

下载: 全尺寸图片幻灯片

表 1 部分储层评价指标数据及SBM-DEA评价结果

Table 1. Part of reservoir data and evaluation results of SBM-DEA

井号	输出型指标(y)				输入型指标(x)		SBM-DEA评价结果	产能/(10⁴m³·d^-1)
井号	砂体厚度(y1)/m	孔隙度(y2)/%	渗透率(y3)/10^-3 μm²	含气饱和度(y4)/%	泥质质量分数(x1)/%	非均质变异系数(x2)	SBM-DEA评价结果	产能/(10⁴m³·d^-1)
SuX-16-23	21.06	9.50	0.87	57.85	11.25	1.51	1.000	1.768
SuX-17-26	25.88	5.59	0.49	54.63	10.71	2.12	0.727	1.231
SuX-8-11	11.50	6.90	0.57	51.60	12.05	2.10	0.515	1.227
SuX-21-18C1	9.75	6.84	0.38	50.61	12.06	1.79	0.479	1.132
SuX-18-13	14.63	6.44	0.27	47.46	15.26	1.89	0.376	1.116
SuX-16-33	17.03	7.06	0.26	41.44	20.37	1.94	0.347	1.004
SuX-17-17	17.00	6.39	0.26	33.14	13.40	2.22	0.332	0.948
SuX-13-06	18.50	4.94	0.24	39.28	15.89	2.32	0.292	0.725
SuX-11-10	19.60	4.70	0.21	36.77	17.75	2.64	0.230	0.558
SuX-21-22	26.99	5.65	0.20	32.81	16.78	3.41	0.210	0.446
SuX-16-13	11.50	6.65	0.20	35.86	18.36	3.15	0.188	0.329
SuX-15-06	14.35	5.71	0.21	22.32	18.34	3.22	0.176	0.283
SuX-6-09	21.71	4.78	0.16	24.33	20.56	3.22	0.152	0.101
SuX-16-26	23.75	4.35	0.16	14.73	18.38	3.15	0.148	0.094
SuX-19-05	8.87	3.64	0.14	24.10	20.63	3.67	0.112	/
SuX-12-19	5.25	3.85	0.13	11.79	18.13	4.64	0.081	/

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表 2 苏X-17-26井盒8下段储层单元SBM-DEA评价松弛变量信息

Table 2. SBM-DEA slack variables from the reservoir sample of the lower section of the eighth Member of Shihezi Formation in Well SuX-17-26

评价指标	原始数据	投影结果	松弛变量
砂体厚度(y1)/m	25.88	25.88	s₁⁺=0
孔隙度(y2)/%	5.59	9.35	s₂⁺=3.76
渗透率(y3)/10^-3μm²	0.49	0.91	s₃⁺=0.42
含气饱和度(y4)/%	54.63	54.63	s₄⁺=0
泥质质量分数(x1)/%	10.71	10.71	s₁^-=0
非均质变异系数(x2)	2.12	2.12	s₂^-=0

下载: 导出CSV

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